Table 22-2
Voters are deciding how they will spend the City of Elmongary's budget surplus.They have enough money to build one of three projects: build a school, build a skate park, or build a bike lane for commuters.They agree that they will have two pairwise votes to determine how to spend their budget, with the majority determining the outcome on each vote.The first, second, and third choices for each project are as indicated in the table below.
-Refer to Table 22-2.Which statement regarding the Condorcet paradox and the results of pairwise voting in Elmongary is most accurate

Question

Table 22-2
Voters are deciding how they will spend the City of Elmongary's budget surplus.They have enough money to build one of three projects: build a school, build a skate park, or build a bike lane for commuters.They agree that they will have two pairwise votes to determine how to spend their budget, with the majority determining the outcome on each vote.The first, second, and third choices for each project are as indicated in the table below. 
-Refer to Table 22-2.Which statement regarding the Condorcet paradox and the results of pairwise voting in Elmongary is most accurate

Quizplus · Accepted Answer

The Condorcet paradox is a situation in which individual preferences are inconsistent with the group preferences. In Elmongary's voting system, the preferences are not transitive as evidenced by the fact that in the first pairwise vote, the majority preferred the school to the skate park, and the skate park to the bike lane, but in the second pairwise vote, the majority preferred the bike lane to the school. This inconsistency means that the preferences are not transitive and therefore the voting in Elmongary fails to produce transitive preferences. Option A is incorrect because pairwise voting can produce transitive preferences, but it is not guaranteed. Option B is incorrect because the voting in Elmongary is not an example of transitive preferences. Option D is incorrect because the Condorcet paradox suggests that pairwise voting almost never produces transitive preferences.

Table 22-2 Voters Are Deciding How They Will Spend the City of City